Obviously, our knowledge of the transitions of the \(\Upsilon (10753)\)  into other bottomonia is still absent. A typical example is that the allowed \(\Upsilon (10753)\rightarrow \Upsilon (1^3D_2)\eta \)  is waiting to be explored, not only by theorists but also by experimentalists. This fact stimulates our interest in carrying out the investigation of \(\Upsilon (10753)\rightarrow \Upsilon (1^3D_J)\eta \)  (\(J=1,2,3\) ), where the \(\Upsilon (1^3D_J)\)  denote three \(1D\)  bottomonium states. By checking the PDG values [1]}, we may find that only \(\Upsilon (1^3D_2)\)  was observed. For the remaining \(1D\)  bottomonia, they are still missing in experiment. Thus, the present study of \(\Upsilon (10753)\rightarrow \Upsilon (1^3D_J)\eta \)  has a close relation to these two missing bottomonia \(\Upsilon (1^3D_1)\)  and \(\Upsilon (1^3D_3)\) .
